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catalog contributor b12174275.
catalog contributor b12174276.
catalog contributor b12174277.
catalog created "c2001.".
catalog date "2001".
catalog date "c2001.".
catalog dateCopyrighted "c2001.".
catalog description "1 Laguerre Calculus 1 -- 1.1 Heisenberg group 1 -- 1.2 Twisted and P.V. convolution operators 2 -- 1.3 Laguerre calculus 6 -- 2 Estimates for Powers of the Sub-Laplacian 33 -- 2.2 Powers of the sub-Laplacian 37 -- 2.3 Heat kernel 40 -- 2.4 Estimates of [psi subscript m] in Hardy spaces 44 -- 2.5 BMO estimates for the operator [psi subscript m] 55 -- 2.6 Riesz transforms on H[subscript n] 58 -- 2.7 Connection with R[superscript 2n] 68 -- 3 Estimates for the Spectrum Projection Operators of the Sub-Laplacian 77 -- 3.1 L[superscript p] spectrum of ([lagran], iT) 77 -- 3.2 Estimates for the operator T[subscript k, [epsilon] in Morrey spaces 84 -- 3.3 Spectral projection operator 89 -- 3.4 Schrodinger operator 94 -- 3.5 Fundamental solution of [Delta subscript [Lambda], [alpha] 96 -- 3.6 Estimate [characters not reproducible] operator in Morrey space 102 -- Appendix".
catalog description "176 -- 6 Injectivity of the Pompeiu Transform in the Isotropic H[subscript n] 185 -- 6.3 Group algebras L[superscript 1 subscript 0](H[subscript n]) and L[subscript 1 subscript 0](H[subscript n]) 188 -- 6.4 Description of U(n) and T[superscript n]-spherical functions and the spaces m* and m 191 -- 6.5 Convolution equations systems with 0 and 0-homogeneous compactly supported Radon measures as coefficients 210 -- 6.6 Pompeiu type theorems in H[subscript n] 216 -- 6.7 Interpretation from the point of view of the Weyl functional calculus 223 -- 7 Morera-type Theorems for Holomorphic H[superscript p] Spaces in H[subscript n] (I) 229 -- 7.2 Boundary analogues of the Morera theorem -- A Morera type theorem for CR functions in the class L[superscript 2](H[subscript n]) 234 -- 7.3 A Morera-type theorem for CR functions on the unit ball 247 -- 8 Morera-type Theorems for Holomorphic H[superscript p] Spaces in H[subscript n] (II)".
catalog description "257 -- 8.1 m-homogeneous and m-homogeneous functions on H[subscript n] 258 -- 8.2 Subalgebra L[superscript 1 subscript 00](H[subscript n]) and convolution equations for m-homogeneous functions 290 -- 8.3 Morera-type theorems for H[superscript p](H[subscript n]) spaces in H[subscript n] 300 -- 8.4 Characterization of H[infinity]([characters not reproducible]B[superscript n+1]) via Morera theorems 314.".
catalog description "Includes bibliographical references.".
catalog description "Isotropic Heisenberg Group 105 -- 4 Inverse of the Operator [square subscript [alpha] = [Sigma superscript n subscript j=1] (X[superscript 2 subscript j] -- X[superscript 2 subscript j+n]) -- 2i[alpha]T 111 -- 4.2 Inverting [square subscript [alpha]: symbols 112 -- 4.3 Inverting [square subscript [alpha]: the kernel 124 -- 4.4 Real [alpha]: Muller and Ricci's result 135 -- 4.5 Wave equation on the Heisenberg group 139 -- 5 Explict solution of the [characters not reproducible]-Neumann problem in a non-isotropic Siegel domain 151 -- 5.2 [characters not reproducible] operators and [characters not reproducible] Laplacian on U[superscript n] 152 -- 5.3 Laguerre calculus on H[subscript n] [times] R[superscript d] 156 -- 5.4 Fundamental solution of [square subscript [alpha] 158 -- 5.5 [characters not reproducible]-Neumann problem 162 -- 5.6 Associated heat equation 166 -- 5.7 Laplacian operator on the Heisenberg group".
catalog extent "xii, 319 p. :".
catalog identifier "0821827618 (alk. paper)".
catalog isPartOf "AMS/IP studies in advanced mathematics, 1089-3288 ; v. 22".
catalog issued "2001".
catalog issued "c2001.".
catalog language "eng".
catalog publisher "Providence, RI : American Mathematical Society ; [Somerville, MA] : International Press,".
catalog subject "515/.72 21".
catalog subject "Calculus, Operational.".
catalog subject "Laguerre polynomials.".
catalog subject "Nilpotent Lie groups.".
catalog subject "QA432 .B448 2001".
catalog tableOfContents "1 Laguerre Calculus 1 -- 1.1 Heisenberg group 1 -- 1.2 Twisted and P.V. convolution operators 2 -- 1.3 Laguerre calculus 6 -- 2 Estimates for Powers of the Sub-Laplacian 33 -- 2.2 Powers of the sub-Laplacian 37 -- 2.3 Heat kernel 40 -- 2.4 Estimates of [psi subscript m] in Hardy spaces 44 -- 2.5 BMO estimates for the operator [psi subscript m] 55 -- 2.6 Riesz transforms on H[subscript n] 58 -- 2.7 Connection with R[superscript 2n] 68 -- 3 Estimates for the Spectrum Projection Operators of the Sub-Laplacian 77 -- 3.1 L[superscript p] spectrum of ([lagran], iT) 77 -- 3.2 Estimates for the operator T[subscript k, [epsilon] in Morrey spaces 84 -- 3.3 Spectral projection operator 89 -- 3.4 Schrodinger operator 94 -- 3.5 Fundamental solution of [Delta subscript [Lambda], [alpha] 96 -- 3.6 Estimate [characters not reproducible] operator in Morrey space 102 -- Appendix".
catalog tableOfContents "176 -- 6 Injectivity of the Pompeiu Transform in the Isotropic H[subscript n] 185 -- 6.3 Group algebras L[superscript 1 subscript 0](H[subscript n]) and L[subscript 1 subscript 0](H[subscript n]) 188 -- 6.4 Description of U(n) and T[superscript n]-spherical functions and the spaces m* and m 191 -- 6.5 Convolution equations systems with 0 and 0-homogeneous compactly supported Radon measures as coefficients 210 -- 6.6 Pompeiu type theorems in H[subscript n] 216 -- 6.7 Interpretation from the point of view of the Weyl functional calculus 223 -- 7 Morera-type Theorems for Holomorphic H[superscript p] Spaces in H[subscript n] (I) 229 -- 7.2 Boundary analogues of the Morera theorem -- A Morera type theorem for CR functions in the class L[superscript 2](H[subscript n]) 234 -- 7.3 A Morera-type theorem for CR functions on the unit ball 247 -- 8 Morera-type Theorems for Holomorphic H[superscript p] Spaces in H[subscript n] (II)".
catalog tableOfContents "257 -- 8.1 m-homogeneous and m-homogeneous functions on H[subscript n] 258 -- 8.2 Subalgebra L[superscript 1 subscript 00](H[subscript n]) and convolution equations for m-homogeneous functions 290 -- 8.3 Morera-type theorems for H[superscript p](H[subscript n]) spaces in H[subscript n] 300 -- 8.4 Characterization of H[infinity]([characters not reproducible]B[superscript n+1]) via Morera theorems 314.".
catalog tableOfContents "Isotropic Heisenberg Group 105 -- 4 Inverse of the Operator [square subscript [alpha] = [Sigma superscript n subscript j=1] (X[superscript 2 subscript j] -- X[superscript 2 subscript j+n]) -- 2i[alpha]T 111 -- 4.2 Inverting [square subscript [alpha]: symbols 112 -- 4.3 Inverting [square subscript [alpha]: the kernel 124 -- 4.4 Real [alpha]: Muller and Ricci's result 135 -- 4.5 Wave equation on the Heisenberg group 139 -- 5 Explict solution of the [characters not reproducible]-Neumann problem in a non-isotropic Siegel domain 151 -- 5.2 [characters not reproducible] operators and [characters not reproducible] Laplacian on U[superscript n] 152 -- 5.3 Laguerre calculus on H[subscript n] [times] R[superscript d] 156 -- 5.4 Fundamental solution of [square subscript [alpha] 158 -- 5.5 [characters not reproducible]-Neumann problem 162 -- 5.6 Associated heat equation 166 -- 5.7 Laplacian operator on the Heisenberg group".
catalog title "Laguerre calculus and its applications on the Heisenberg group / Carlos Berenstein, Der-Chen Chang, and Jingzhi Tie.".
catalog type "text".